# A flask is filled with 13g of an ideal gas at 27 °C and its temperature is raised to 52 °C. Find the mass of the gas that has to be

5.6k views

retagged

A flask is filled with 13g of an ideal gas at 27 °C and its temperature is raised to 52 °C. Find the mass of the gas that has to be  released to maintain the temperature of the gas in the flask at 52 °C and the pressure is same as the initial pressure.

+1 vote
by (53.0k points)
selected

Let n be the initial number of moles and ri be the final number of moles. since pressure and volume remain the same, we have

PV = nRT = nR x 300 = n'R x 325

$\frac{n'}{n}$ = $\frac{300}{325}$ = $\frac{12}{13}$

Mass to be released = 13 - 12 = 1g